Finding the Third Proportional to 82,748.25 and 178,615.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,748.25 : 178,615.50 = 178,615.50 : x
2. Step 2: Convert to fraction form
   82,748.25/178,615.50 = 178,615.50/x
3. Step 3: Cross multiply
   82,748.25x = 178,615.50 × 178,615.50
4. Step 4: Simplify right side
   82,748.25x = 31,903,496,840.25
5. Step 5: Solve for x
   x = 31,903,496,840.25/82,748.25
6. Step 6: Final answer
   x = 385,548.90